Finding the Third Proportional to 2,342 and 3,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,342 : 3,227.50 = 3,227.50 : x
2. Step 2: Convert to fraction form
   2,342/3,227.50 = 3,227.50/x
3. Step 3: Cross multiply
   2,342x = 3,227.50 × 3,227.50
4. Step 4: Simplify right side
   2,342x = 10,416,756.25
5. Step 5: Solve for x
   x = 10,416,756.25/2,342
6. Step 6: Final answer
   x = 4,447.80